Well u can't help what u thought u saw u wasn't in the wrong
Try and talk with him and if he don't stop then u can either stay or leave
I wouldn't have dude around my small child at all, just because of stuff like this. If you weren't able to see clearly what actually happened, then he has too much leeway, which is a big red flag. People put their kids in harm's way bringing men around them and giving them too much trust.
We actually ended things last week, just stuff that I'm not willing to put up with or not worth fixing at this point. I'd rather be single with my kid♡
Get rid of him. He needs to respect that you are their mother. you are seeing red flags, and when there are kids involved, it's definitely not worth the risk.
As far as I see it, you have a few options. 1. Lay down the law and say this is how I want my child to be raised and I expect you to respect my boundaries as her mother. 2. Couples counseling to discuss the different parenting styles and come to a compromise. And/or 3. Find a local parenting group in the area that you both can attend and use that to discuss different parenting styles, what you both like out of parent styles. Reflect on what you want to see from each other and come together to decide how to parent her together based off of what you learn.